IB DP Maths: AI HL复习笔记5.1.1 Introduction to Differentiation
Introduction to Derivatives
- Before introducing a derivative, an understanding of a limit is helpful
What is a limit?
What might I be asked about limits?
What is a derivative?
How are limits and derivatives linked?
What is the notation for derivatives?
What might I be asked about derivatives?
Worked Example 
Differentiating Powers of x
What is differentiation?
- Differentiation is the process of finding an expression of the derivative (gradient function) from the expression of a function
How do I differentiate powers of x?
What might I be asked to do once I’ve found the derivative (gradient function)?
- The derivative can be used to find the gradient of a function at any point
- The gradient of a function at a point is equal to the gradient of the tangent to the curve at that point
- A question may refer to the gradient of the tangent
- A GDC can be used to help find gradients or verify answers
Exam Tip
Worked Example
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